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  2. Symbolic dynamics - Wikipedia

    en.wikipedia.org/wiki/Symbolic_dynamics

    Symbolic dynamics originated as a method to study general dynamical systems; now its techniques and ideas have found significant applications in data storage and transmission, linear algebra, the motions of the planets and many other areas [citation needed]. The distinct feature in symbolic dynamics is that time is measured in discrete intervals.

  3. Gustav A. Hedlund - Wikipedia

    en.wikipedia.org/wiki/Gustav_A._Hedlund

    One of Hedlund's early results was an important theorem about the ergodicity of geodesic flows. [7] He also made significant contributions to symbolic dynamics, whose origins as a field of modern mathematics can be traced to a 1944 paper of Hedlund, and to topological dynamics.

  4. Subshift of finite type - Wikipedia

    en.wikipedia.org/wiki/Subshift_of_finite_type

    A symbolic flow or subshift is a closed T-invariant subset Y of X [3] and the associated language L Y is the set of finite subsequences of Y. [ 4 ] Now let A be an n × n adjacency matrix with entries in {0, 1}.

  5. Category:Symbolic dynamics - Wikipedia

    en.wikipedia.org/wiki/Category:Symbolic_dynamics

    Pages in category "Symbolic dynamics" The following 8 pages are in this category, out of 8 total. This list may not reflect recent changes. ...

  6. Dynamical systems theory - Wikipedia

    en.wikipedia.org/wiki/Dynamical_systems_theory

    Symbolic dynamics is the practice of modelling a topological or smooth dynamical system by a discrete space consisting of infinite sequences of abstract symbols, each of which corresponds to a state of the system, with the dynamics (evolution) given by the shift operator.

  7. Rufus Bowen - Wikipedia

    en.wikipedia.org/wiki/Rufus_Bowen

    Bowen: "Symbolic Dynamics for Hyperbolic Flows" in Proceedings of the International Congress of Mathematicians (Vancouver, 1974), pp. 299–302. Bowen: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. (Lecture Notes in Mathematics, no. 470: A. Dold and B. Eckmann, editors). Springer-Verlag (Heidelberg, 1975), 108 pp.

  8. Horseshoe map - Wikipedia

    en.wikipedia.org/wiki/Horseshoe_map

    The horseshoe map was designed to reproduce the chaotic dynamics of a flow in the neighborhood of a given periodic orbit. The neighborhood is chosen to be a small disk perpendicular to the orbit . As the system evolves, points in this disk remain close to the given periodic orbit, tracing out orbits that eventually intersect the disk once again.

  9. Shift space - Wikipedia

    en.wikipedia.org/wiki/Shift_space

    In symbolic dynamics and related branches of mathematics, a shift space or subshift is a set of infinite words that represent the evolution of a discrete system. In fact, shift spaces and symbolic dynamical systems are often considered synonyms. The most widely studied shift spaces are the subshifts of finite type and the sofic shifts.